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A271767
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Number of set partitions of [n] with minimal block length multiplicity equal to seven.
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2
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1, 0, 0, 0, 0, 0, 0, 135135, 0, 0, 0, 0, 0, 0, 51925673800, 43212118950, 607370338575, 265034329560, 17166996346500, 1305093289500, 584129638842750, 56071685084790375, 176898040019801100, 518112685551586125, 26529011711988035250, 4672320885518286000
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OFFSET
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7,8
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 7..577
Wikipedia, Partition of a set
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FORMULA
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a(n) = A271424(n,7):
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MAPLE
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with(combinat):
b:= proc(n, i, k) option remember; `if`(n=0, 1,
`if`(i<1, 0, add(multinomial(n, n-i*j, i$j)
*b(n-i*j, i-1, k)/j!, j={0, $k..n/i})))
end:
a:= n-> b(n$2, 7)-b(n$2, 8):
seq(a(n), n=7..35);
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CROSSREFS
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Column k=7 of A271424.
Sequence in context: A133528 A151940 A270896 * A104440 A290036 A289955
Adjacent sequences: A271764 A271765 A271766 * A271768 A271769 A271770
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Apr 13 2016
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STATUS
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approved
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